The phrase "licks someone's boots" can be seen as subservient and obsequious. Synonyms for this phrase include "kiss up to" or "brown-nose," which also suggest that the person is trying to gain favor from someone in a demeaning way. Alternatively, one could use the phrase "show deference" or "pay respect" to indicate that the person is being respectful without being overly servile. Other potential synonyms include "flatter," "curry favor with," or "butter up," each of which suggests that the person is trying to win someone over through flattery and insincere praise. Ultimately, the choice of phrase will depend on the specific context and tone desired.